Let g(x)= /"rt) dt, where f is the function whose graph is shown. y 4| 3 1 4 6. 8 -1 -2 2. 2.

Q: That the value of the integration g(1) = 00 , g(2) = 0 1-e t) -dt 9(t) where g is a function that is…

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Q: (1) Let g(x) :| f(t) dt. What is g'(x)? a

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Q: If z = (x +y) eª and ¤ 3t and y = 1 – ť², find the following derivative using the chain rule. Enter…

A: See the attachment

Q: Find the derivative of the given function. y=cos(e^-5theta^3)   dy/dtheta=

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Q: Find F '(x). sin(x) F(x) = 3Vt dt

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Q: If z=(x+y)e^y and x=7t and y=1−t^2, find the following derivative using the chain rule. Enter your…

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Q: Estimate the instantaneous rate of change of f(x)= cos(x-7)+4 at x = π. a) 4. Ax =4 b) Af =1 Ax Oc)…

A: Given function is F(x)=cos(x-pi)+4 where x=pi We are going to find the instantaneous change of this…

Q: Find the derivative of the function y = 5 . 5t +3·3. dy dt

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Q: Use Euler's method to make the graph of the following functions on the given interval. a) dx/dt = t…

A: Introduction: The Euler's method is a basic and numerical method to approximate an initial value…

Q: Find the linearization of f(x) = 9 – dt at x = 1. 2+t

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Q: Given that x and y are functions of time, find the indicated rate of change. dx when x 6, y = 3, and…

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Q: secx 1 Given g(x) : z dt , find g'(x). t2

A: gx = ∫7sexcx1t2dt           = ∫7sexcx t-2 dt        = t-2+1-2+7secx      =t-17secx-1 = secx-1-7-1-1…

Q: Let F(x) = sin 3t dt, please find F'(0)

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Q: psin(rx) (b) Let g(æ) 1 and f(x) g(t) dt. Find f'(2). x4 + 1

A: We have to use derivative under the functional limit formulae first then put x=2.

Q: find the values of the derivatives ds/dt at t=0 if s = 2/(4 - t)

A: Given function is Differentiating with respect to t, we get

Q: (a) Find the derivative of fix. y. 2) = x-xy-z at P1, 1,0) in the direction of v = 2i- 3j + 6k. (b)…

A: The directional derivative of a function f(x,y,z) at the point (x,y,z) in the direction of vector v…

Q: Find G(1), G'(0), and G'(π/4), where G(x) =

A: Here we have;  G(x)=∫1xtant dt

Q: 1losamlov ç5x3-1 Differentiate the function g(x) = [°*¯'sin t dt. -3

A: We have to differentiate the given function.

Q: Calculate following derivative if y(t) = 6t-3 + 41². (Use symbolic notation and fractions where…

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Q: Use the Quotient Rule to compute the following: t2 +1 d at t = 2 dt t2 The derivative is:

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Q: x and y are functions of a third variable t. If √√x + √= 5 and dt = 2, find when = dt 1

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Q: Find the derivative of the function. -1 y = (3t – 1)(6t – 5) dy dt II

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Q: e If F(x) = | e dt, find F(1) and F'(x). ez

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Q: By direct calculation, estimate the value of df/dt for f(x) = 1/x^2 at x=4. Use an increment of…

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Q: g(x) - (x)/ A.If f(x) = dt, where g(x) = + sin(tº )]dt, find f'(÷). (1

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Q: Find a value of x such that

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Q: Given the function y = x* e* , find dty dx for x = -1. %3D

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Q: Determine k so that f(x, y) = kx(x- y) for 0<x <1,-x< y<x is a joint pdf.

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Q: Consider and solve the initial value problem of a new form of life discovered on a distant planet.…

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Q: Suppose x and y are functions of third variable t. In the equation x+y=45, what are the values of t…

A: In this question we will use basic of calculus i.e concept of partial derivative. Solution of the…

Q: Fill in the blank. = F(s - a) whereas L eat dt F(s - a) =

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Q: Let f(x) /1+ In (t) dt. 2 f(e) = D

A: Differentiate wrt x

Q: 2. If F(x)=[f(t)dt where f(t)= J -du , find F" (2). 27

A: if F(x)=∫1xf(t) dtWhere f(t)=∫1t21+u4udu

Q: Let F(x) = | cos(3t – 1) dt. sin z 1. Find F(0). 2. Find F'(x).

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Q: Aparticle moves on the graph of y^2=x+1 so that dx/dt=4x+4 what is dy/dt whrn x=8?

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Q: d Use the chain rule to calculate f(x) if f(x) In (1+ tº) dt. dx, 0. f(x) =

A: let's use chain rule and find derivative of integral.

Q: Find the derivative of the function: y = (e**)e Oy = e (e*+ + 1) Oy - (e") (e*+* +1) Oy = (e…

A: We know that derivatives of  d(xn)/dx = nxn-1. And d(ex)/dx = ex.   Here i attached the solution of…

Q: If f(x) = S dt for x 2 1, find f'(2). 1+lnt

A: Simply use the formula for the derivative of an antiderivative.

Q: Find F'(x). 2x F(x) = cos(t*) dt

A: If f(x) is continuous over an interval [a, b], and the function  F(x) = ∫au(x)f(t) dt then F'(x) =…

Q: Find the indicated derivative. dy dt - for y = (2.2t - 4t?)(2t + 1.9) dt 11

A: We have to find dy/dt for Given function.

Q: Find dy for the given values of x and Ax. 3 y =x° - 6x +8; x = 1; Ax = - 0.1 - 6x + 8; x = 1; Ax = -…

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Q: Use the Quotient Rule to compute the following: d/dt(t^2+1/t^2-1) at t=4   The derivative is:

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Q: A point is moving along the graph of the function y=1/8x^2 +3 such that dx/dt = 3 cm/sec. Find dy/dt…

A: NOTE: Refresh your page if you can't see any equations. . take the derivative with respect to t

Q: Calculate the instantaneous rate of change of g at the point (4, 1, 2) in the direction of the vec…

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Q: That The value of dt the integration 1-e) She g(1) = 00 , g(2) = 0 A function that is g iwere ,…

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Q: (a) If g(x) = (tan t)³ dt, find g'(x). (b) If h(x) = | (tan t) dt, find h'(x).

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Q: 13. Prove that the function 2x 1 dt t F(x) is a constant on the interval (0, ∞ )

A: The student has specifically asked for the solution to Question-13. Hence, that question is solved…

Q: If f(x, y) = 1/(xy), the marginal pdf of X is (log x)/y. TRUE or FALSE ?

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